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Finding the Fourth Proportional to 427,900.77, 641,985.44 and 257,318.82

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Solution

The fourth proportional to 427,900.77, 641,985.44 and 257,318.82 is: 386,058.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,900.77 : 641,985.44 = 257,318.82 : x
  2. Step 2: Convert to fraction form
    427,900.77/641,985.44 = 257,318.82/x
  3. Step 3: Cross multiply
    427,900.77x = 641,985.44 × 257,318.82
  4. Step 4: Simplify right side
    427,900.77x = 165,194,934,591.39
  5. Step 5: Solve for x
    x = 165,194,934,591.39/427,900.77
  6. Step 6: Final answer
    x = 386,058.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.